M7MBA wrote:If xy < 4, is x < 2?
(1) y > 1
(2) y > x
Statement 1:
Case 1: y=2 and x=1, with the result that xy < 4
In this case, x<2, so the answer to the question stem is YES.
Case 2: y=3/2 and x=2, with the result that xy < 4
In this case, x=2, so the answer to the question stem is NO.
Since the answer is YES in Case 1 but NO in Case 2, INSUFFICIENT.
Statement 2:
Test whether it's possible that x=2.
Substituting x=2 into xy < 4, we get:
2y < 4
y < 2.
Not possible:
Since x=2 and y < 2, the condition that y > x is not satisfied.
For the value of y to increase so that y > x, the value of x must DECREASE.
Thus, x < 2.
SUFFICIENT.
The correct answer is
B.
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